Stable ergodicity and julienne quasi-conformality

By C. Pugh, M. Shub. 2000

114 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eeec9cdf0eedd666bfea32aecd56f04260bf625e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. J. Palis
2. Jiagang Yang
3. F. R. Hertz
4. Dmitry Dolgopyat
5. David Kelly
6. Ian Melbourne

In Geometry and Topology

1. Jiagang Yang
2. R. Ures
3. J. Palis
4. M. R. Hertz
5. F. R. Hertz
6. Dmitry Dolgopyat
7. P. P. Varj'u
8. Artur Avila

In Statistical and Nonlinear Physics

1. Jiagang Yang
2. R. Ures
3. J. Palis
4. M. R. Hertz
5. F. R. Hertz
6. Dmitry Dolgopyat
7. Ian Melbourne
8. S. Gouëzel

Citations in the corpus

• Entropy along expanding foliations (2016, background): “In [30] they showed that this does hold under a few additional assumptions.”
• On mixing properties of compact group extensions of hyperbolic systems (2002, methodology): “The best result in this direction so far is a theorem of Pugh and Shub [ 41 ] saying that partially hyperbolic volume preserving dynamically coherent and center-bunched systems with accessibility property are K-systems.”
• New criteria for ergodicity and nonuniform hyperbolicity (2009, unknown): “D S] 2 7 Ju l 2 00”
• A survey on partially hyperbolic dynamics (2006, background): “In [ PuSh3 ] Charles Pugh and Mike Shub posed the following problem related to the topology of the manifold supporting a partially hyperbolic system:”
• Stable ergodicity of certain linear automorphisms of the torus (2002, background): “Moreover, we say that f has the essential accessibility property if each su−saturated set in the torus has either null or full Lebesgue measure. By Theorem A of [ PS ]”
• A global view of dynamics and a conjecture on the denseness of finitude of attractors (2018, background): “Some time earlier, Pugh and Shub had shown that for volume preserving diffeomorphisms, partial hyperbolicity is a main ingredient for robust ergodicity; see [PSh] and references therein.”
• Limit theorems for partially hyperbolic systems (2003, background): “In any case, the results of [35, 75, 76, 7] show that there is a nontrivial theory applicable to a large class of partially hyperbolic systems.”